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Finding the Fourth Proportional to 299,431.40, 449,147.10 and 287,621.60

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Solution

The fourth proportional to 299,431.40, 449,147.10 and 287,621.60 is: 431,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,431.40 : 449,147.10 = 287,621.60 : x
  2. Step 2: Convert to fraction form
    299,431.40/449,147.10 = 287,621.60/x
  3. Step 3: Cross multiply
    299,431.40x = 449,147.10 × 287,621.60
  4. Step 4: Simplify right side
    299,431.40x = 129,184,407,537.36
  5. Step 5: Solve for x
    x = 129,184,407,537.36/299,431.40
  6. Step 6: Final answer
    x = 431,432.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.